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Finding the Fourth Proportional to 1,146.90, 1,719.74 and 530.06

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Solution

The fourth proportional to 1,146.90, 1,719.74 and 530.06 is: 794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.90 : 1,719.74 = 530.06 : x
  2. Step 2: Convert to fraction form
    1,146.90/1,719.74 = 530.06/x
  3. Step 3: Cross multiply
    1,146.90x = 1,719.74 × 530.06
  4. Step 4: Simplify right side
    1,146.90x = 911,565.38
  5. Step 5: Solve for x
    x = 911,565.38/1,146.90
  6. Step 6: Final answer
    x = 794.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.